The Wonderful World of the Triangle Inequality Theorem
The triangle inequality theorem says any two sides of a triangle must add to more than the third. It is the test for whether three given lengths can form a triangle at all, and it also bounds the range of a missing side. Practice questions on the triangle inequality theorem Can sides of lengths (4 […]
Geometry Puzzle – Critical Thinking 16
Two sides of a triangle are 10 and 5. What areas are possible? The triangle inequality forces the third side strictly between 5 and 15. The area is at its largest when the included angle between the two given sides is 90 degrees, giving a maximum area of (1/2)(10)(5) = 25 square units. Key takeaways: […]